11823084282800 has 240 divisors, whose sum is σ = 32672093376000. Its totient is φ = 4027561574400.

The previous prime is 11823084282749. The next prime is 11823084282809. The reversal of 11823084282800 is 828248032811.

It is not an unprimeable number, because it can be changed into a prime (11823084282809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353872496 + ... + 353905904.

It is an arithmetic number, because the mean of its divisors is an integer number (136133722400).

Almost surely, 2^{11823084282800} is an apocalyptic number.

11823084282800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11823084282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16336046688000).

11823084282800 is an abundant number, since it is smaller than the sum of its proper divisors (20849009093200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11823084282800 is a wasteful number, since it uses less digits than its factorization.

11823084282800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34244 (or 34233 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 47.

The spelling of 11823084282800 in words is "eleven trillion, eight hundred twenty-three billion, eighty-four million, two hundred eighty-two thousand, eight hundred".